61880966496 has 96 divisors (see below), whose sum is σ = 180669696480. Its totient is φ = 20606012928.

The previous prime is 61880966473. The next prime is 61880966509. The reversal of 61880966496 is 69466908816.

61880966496 is a `hidden beast` number, since 6 + 1 + 8 + 80 + 9 + 66 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×61880966496³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825490 + ... + 897326.

It is an arithmetic number, because the mean of its divisors is an integer number (1881976005).

Almost surely, 2^61880966496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61880966496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90334848240).

61880966496 is an abundant number, since it is smaller than the sum of its proper divisors (118788729984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61880966496 is a wasteful number, since it uses less digits than its factorization.

61880966496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72853 (or 72839 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 61880966496 in words is "sixty-one billion, eight hundred eighty million, nine hundred sixty-six thousand, four hundred ninety-six".